5/6/2018 [1] PE Prof. Mor M. Peretz Analog Electronic Circuits - - PDF document

5/6/2018 1

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [1]

PE M I C

BGU

Analog Electronic Circuits

• Prof. Mor M. Peretz

The Center for Power Electronics and Mixed-Signal IC Department of Electrical and Computer Engineering Ben-Gurion University of the Negev, ISRAEL Emails: morp@bgu.ac.il Website: http://www.ee.bgu.ac.il/~pemic http://www.ee.bgu.ac.il/~analog

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [2]

PE M I C

BGU

Lesson #6 Outline

• Active filters

– Types of filters – Simple filters, first-order

• Second-order filters

– KRC filters – Circuit solving approach

• Multi-feedback
• Impedance emulation

– Multiple amps

• Switched-capacitor circuits
• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [3]

PE M I C

BGU

Types of filters

𝐼 𝑡 = 𝑂 𝑡 𝑡2 𝜕02 + 𝑡 𝑅𝜕0 + 1

5/6/2018 2

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [4]

PE M I C

BGU

Second-order response

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [5]

PE M I C

BGU

Simple first-order filters

𝐼 𝑡 = − 𝑆2 𝑆1 1 𝑆2𝐷𝑡 + 1

+

• Vin

VOUT R1 R2 C 𝐼0 = −

𝑆2 𝑆1 ; 𝜕0 = 1 𝑆2𝐷𝑡

+

• Vin

VOUT R1 R2 C 𝐼 𝑡 = − 𝑆2 𝑆1 𝑆1𝐷𝑡 𝑆1𝐷𝑡 + 1 𝐼0 = −

𝑆2 𝑆1 ; 𝜕0 = 1 𝑆1𝐷𝑡

𝐼 𝑡 = 𝐼0 𝑌𝑡 + 1 𝑌𝑡 + 1

LPF + gain HPF + gain

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [6]

PE M I C

BGU

Simple first-order filters

𝐼 𝑡 = −𝑆𝐷𝑡 + 1 𝑆𝐷𝑡 + 1 𝐼 𝑡 = 𝐼0 𝑌𝑡 + 1 𝑌𝑡 + 1

Phase shifter +

• Vin

VOUT R1 R2=R1 C R

5/6/2018 3

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [7]

PE M I C

BGU

Second-order filters Effect of the numerator on the response

𝐼𝑀𝑄 𝑡 = 1 𝑡2 𝜕02 + 𝑡 𝑅𝜕0 + 1 𝐼𝐼𝑄 𝑡 = 𝑡2 𝜕02 𝑡2 𝜕02 + 𝑡 𝑅𝜕0 + 1 𝐼𝐶𝑄 𝑡 = 𝑡 𝑅𝜕0 𝑡2 𝜕02 + 𝑡 𝑅𝜕0 + 1 𝐼𝐶𝑆 𝑡 = 𝑡2 𝜕02 + 1 𝑡2 𝜕02 + 𝑡 𝑅𝜕0 + 1 𝐼

𝐵𝑄 𝑡 =

𝑡2 𝜕02 − 𝑡 𝑅𝜕0 + 1 𝑡2 𝜕02 + 𝑡 𝑅𝜕0 + 1

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [8]

PE M I C

BGU

Block diagram for LPF

• ω0/s
• ω0/s

++

1/Q

Vin

• 1

Vout

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [9]

PE M I C

BGU

Butterworth filter

• S. Butterworth, 1930

5/6/2018 4

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [10]

PE M I C

BGU

KRC filters

Vin C1 R1 C2 R2 VOUT

+

• K

𝐼 𝑡 = 𝐿 𝑆1𝐷1𝑆2𝑆2𝑡2 + 1 − 𝐿 𝑆1𝐷1 + 𝑆1𝐷2 + 𝑆2𝐷2 𝑡 + 1 𝐼0𝑀𝑄 = 𝐿 ; 𝜕0 =

1 𝑆1𝐷1𝑆2𝑆2

𝐿 = 1 + 𝑆𝐶 𝑆𝐵 𝑊

𝑝𝑣𝑢 = 𝑊 1

1 𝑆2𝐷𝑡 + 1

• +

VOUT RA RB A Vin C1 R1 C2 R2 V1

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [11]

PE M I C

BGU

Circuit solving approach

• +

VOUT RA RB A Vin Z1 Z4 Z3 V1 Z2 Z5

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [12]

PE M I C

BGU

Multiple feedback filters

• +

VOUT A Vin Z1 Z3 V1 Z2 Z5 Z4

5/6/2018 5

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [13]

PE M I C

BGU

Impedance emulation

• +

VOUT A Vin R1 C R2

Bootstrap circuit to emulate inductance

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [14]

PE M I C

BGU

General impedance emulation (Grounded)

• +

A2

• +

A1 Z1 Z2 Z3 Z4 Z5 Vin V1 V2

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [15]

PE M I C

BGU

Switched-capacitor circuits + +

V1 V2 C

+ +

V1 V2 C

+ +

V1 V2 Req

𝐽𝑏𝑤𝑕 = 𝑔

𝑑𝑚𝑙∆𝑅

𝐽𝑏𝑤𝑕 = 𝐷𝑔

𝑑𝑚𝑙 𝑊 1 − 𝑊 2

𝑆𝑓𝑟 =

𝑊

1−𝑊 2

𝐽𝑏𝑤𝑕 = 1 𝐷𝑔𝑑𝑚𝑙

5/6/2018 6

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [16]

PE M I C

BGU

Switched-capacitor circuits

+

• Vin

VOUT R C

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [17]

PE M I C

BGU

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [18]

PE M I C

BGU

5/6/2018 7

• Prof. Mor M. Peretz

Analog Electronic Circuits 361-1-3671 THE CENTER FOR POWER ELECTRONICS AND MIXED-SIGNAL IC, BEN-GURION UNIVERSITY [19]

PE M I C

BGU